Given:
Arnold has $24 to spend at the movies.
Ticket = $12
Popcorn is double the price of the soda.
The soda and candy bar are same price.
To find:
The price for the soda.
Solution:
Let x be the price of soda.
According to the question,
Price of candy = Price of soda = x
Price of popcorn = 2(price of soda) = 2x
Total amount = Ticket + Popcorn + Soda + Candy
[tex]24=12+2x+x+x[/tex]
[tex]24=12+4x[/tex]
[tex]24-12=4x[/tex]
[tex]12=4x[/tex]
Divide both sides by 4.
[tex]\dfrac{12}{4}=x[/tex]
[tex]3=x[/tex]
Therefore, the price of soda is $3.
Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation? 2y = x – 4.5 y = y equals StartFraction 2 over 3 EndFraction x minus 3.x – 3 6y = 6x – 27 y = y equals StartFraction 3 over 2 EndFraction x minus 4.5.x – 4.5
Answer:
B is correct
Step-by-step explanation: an infinite number of solutions means a coincident line...it is the same line
3y = 2x - 9...divide by 3
y = 2/3x - 3...hmm...same line as answer choice b....they are coincident lines and have infinite solutions
Answer:
the answer is B).
Step-by-step explanation:
someone deleted my answer:(
please help it's the SLOPE
Answer:
[tex] - \frac{4}{5} [/tex]
Step-by-step explanation:
Please see the attached picture.
[tex]slope \\ = \frac{1 - ( - 3)}{ - 3 - 2} \\ = \frac{1 + 3}{ - 5} \\ = - \frac{4}{5} [/tex]
☆In the gradient formula,
(x1, y1) is the first coordinate and (x2, y2) is the second coordinate.
What is the equation of the line with slope 1/2 and passing through the point at (1,2)
Answer:
y = 1/2x +3/2
Step-by-step explanation:
y = mx +b plug into this equation
m = 1/2 (slope)
2 = 1/2(1) +b and solve this equation
b = 3/2
equation: y = 1/2x +3/2
I think of a number q, multiply it by 2 and add 5. I get the same answer as when I minus 2 from q. Find the value
Answer:
Q is -7
Step-by-step explanation:
Q×2+5=x
Q-2=x
Q=-7
Write an equation in Point Slope Form that has a slope of -5 and passes through the point (4,9)
I hope that will be help full to u
Step-by-step explanation:As we know point slope form , (Y- Y1) = m (X- X1) As given data , m = -5(X1,Y1) = (4, 9) X1= 4 , Y1= 9putt in the above equation these values, we get Y-9 = (-5) ( X-4) Y-9= -5X +20Y= -5X+29 AnsYOU GET 100 POINTS plus BRALLIST!!!
PLEASE DON'T SCAM OR TROLL ME BECAUSE I WILL REPORT YOU and you will lose double the points and will lose your account!
evaluate the following expressions.
a. −58.49−(−95.09)
b. −20.04−74.14
c. −9.73+6.48
d. −69.2+(−5.81)
e. 22.47+(−76.5)
GOOD LUCK!!!
Answer:
A. 36.6
B. -94.18
C. -3.25
D. -75.01
E. -54.03
Answer:
a. 36.6
b. - 94.18
c. - 3.25
d. - 75.01
e. -54.03
Step-by-step explanation:
Hope this helps, have a great day
HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!!
A company has recently been hiring new employees. Today the company has 33% more employees than it did a year ago. If there are currently
53,200 employees, how many employees did the company have a year ago?
9514 1404 393
Answer:
400
Step-by-step explanation:
If x represents the number of employees a year ago, the current number is ...
x + 0.33x = 53,200
x = 53,200/1.33 = 400
The company had 400 employees a year ago.
1)Solve the system of equations using substitution or elimination. Your
12x - y = 24
-3x + 2y = -6
What is the relationship between two similar quadrilaterals and their areas?
Quadrilaterals with same length and breadth or height have same areas.
Step-by-step explanation:
You can prove this by drawing two quadrilaterals individually and then by calculating there areas.
Either Table A or Table B shows a proportional relationship.
Table A
x −2 −1 0 1
y 2 3 0 5
Table B
x −1 0 1 2
y −3 0 3 6
Plot the points from the table that shows a proportional relationship.
Answer:
the answer is table B
Step-by-step explanation:
Answer:
Table B shows a proportional relationship
Explanation:
In a proportional relationship two quantities vary directly with each other.
So,
y ∝ x
y = kx
Where, k is the constant of variation.
The ordered pairs of table A are (-2,2), (-1,3), (0,0) and (1,5).
From these ordered pairs we can conclude that the value of y-coordinate is not changing according to the x-coordinate because the values of x increased by 1 for each ordered pair but the value of y is not increasing in the same proportion..
The ordered pairs of table B are (-1,-3), (0,0), (1,3) and (2,6). The value of y increasing at a constant rate 3 and the value of y-coordinate is 3 times of x-coordinate.
Choose any two ordered pairs of table B. Let the two points are (0,0) and (1,3).
The proportional relationship is defined as
y = 3x
Therefore, 3 is the constant of variation and rate of change.
So, Table B shows a proportional relationship.
Answer this question and if right ill make branilliest
Answer:
I think that removing (1, 3) would make the most sense
Answer:
(1,3)
Step-by-step explanation:
Because (1,-2) and (1,3) have the same x value, they do not pass verticle line test, so it is not a function.
help!!!!!! what is 3/4 + 1/12?
Answer:
37/56
Step-by-step explanation:
SOMONE PLEASE HELP ME WITH GEOMETRY PLZZZ
In the figure below, identify the altitude and the median.
Answer:
line CN is the altitude and AE is the median if i am correct
Step-by-step explanation:
There are 8 triangles and 6 circles. What is the simplest ratio of circles to total shapes?
Answer:
4:3
4 being triangles and 3 being circle.
Essentially, for every 4 triangles there are 3 circles.
Let me know if you need more help, :)
The ratio of number of circles to the total number of shapes is 3 : 7
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the total number of triangles be = A
Now , the value of A is 8
Let the total number of circles be = B
Now , the value of B is 6
So , the equation will be
The total number of shapes = total number of triangles + total number of circles
The total number of shapes = 8 + 6
The total number of shapes = 14 shapes
Now , the ratio of total number of circles to total number of shapes is =
total number of circles : total number of shapes
Ratio of total number of circles to total number of shapes = 6 : 14
On simplifying the ratio , we get
Ratio of total number of circles to total number of shapes = 3 : 7
Hence ,
The ratio of number of circles to the total number of shapes is 3 : 7
To learn more about proportion click :
https://brainly.com/question/7096655
#SPJ2
True or False: A prime number has exactly 2 factors
O True
O False
Answer:
I’d say false
Step-by-step explanation:
Jolene buys 5/8 of a yard of fabric for $2.50. What is the price of the fabric per yard?
Answer:
4
Step-by-step explanation:
2.50/5=0.5
0.5*8=4
write the following as a fraction in simplest form and as a decimal:
143%
6%
1/2%
1.9%
3/4%
Answer:
1.43
0.06
0.005
0.019
0.0075
Step-by-step explanation:
143% = 143/100 = 1 whole 43/100 = 1.43
6% = 6/100 = 3/50 = 0.06
1/2% = 0.5% = 0.5/100 = 1/200 = 0.005
1.9% = 1.9/100 = 19/1000 = 0.019
3/4% = 0.75/100 = 75/10000 = 3/400 = 0.0075
I need help please will markbrianlyest
Which measure describes how much a sample mean varies when different samples are chosen?
Step-by-step explanation:
the most common measure of how much sample mean differ from each other is the standard deviation of the sampling distribution of the mean. this standard deviation is called the standard error of the mean
Divide 129/4.3 by 4.3
Answer:
6.97674418605
Step-by-step explanation:
thats what i got .-.
Answer:
6.97674418605Step-by-step explanation:
Find the height of a triangle with a base of 4 1/4 cm and an area of 5 5/16 cm squared
Answer:
hb=2.5
Step-by-step explanation:
base = 4
area = 5
Taylor is checking her bank statement for the month of November. She began the month with $175 in her account. She made two deposits for $100 each and also made two withdrawals was for $55. Write an addition expression to represent this situation.
Answer:
The addition expression that represents the situation is;
175 + 100 + 100 - 55 -55
Step-by-step explanation:
Here, we want to write an addition expression to represent the situation
While the deposits are considered positive, the withdrawals are considered negative
So the addition expression will be;
175 + 100 + 100 - 55 - 55
Given point P(9,-11), what are the coordinates of P' after a 180⁰ rotation?
(9,11)
(-9,11)
(-11,-9)
(11,9)
Answer:
-9,11
Step-by-step explanation:
The negative signs get flipped so if the number was positive it would become negative and vice versa.
Answer:
(-9,11)
Step-by-step explanation:
180 Degree Rotation
When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.
Is "The weight of a stack of standard 8.5x11 copier paper vs. number of sheets of paper." a proportional relationship?
Answer:Yes it is proportional because w=kp k=paper weight which is constant. The relationship between the weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper is proportional.
Step-by-step explanation:
Answer: Yes it is a direct proportional relationship
================================================
Explanation:
The equation is in the form y = kx, where
x = number of sheets of paper
k = weight of 1 sheet of paper
y = weight of all the x sheets of paper
x is some nonnegative whole number. The values of y and k are some nonnegative real numbers (aka any decimal values).
Note how if we had x = 0 pieces of paper, then y = 0 is the weight. So no paper leads to no weight. This visually is shown by the line y = kx going through the origin. All direct proportion equations go through the origin.
Each time we add a sheet of paper, we add on k ounces or k grams, or whatever units you're working with. The amount is constant assuming you are dealing with the same type of paper. Comparing y = kx with y = mx+b, we see that k plays the role of the slope or rate of change.
need help on this thank you
Answer:
A. n = 1/63
B. k = 13/3
C. g = 5
D. w = 21/17
Step-by-step explanation:
A. 9n = 15/7 - 2
9n = 15-14/7
9n = 1/7
n = 1/7 ÷ 9
= 1/7 × 1/9
n = 1/63
B. 1/3 = k - 4
1/3 + 4 = k
1+12/3 = k
13 /3 = k
k = 13/3
C. g - 2/5g = 3
5g-2g/5 = 3
3/5g = 3
g = 3 ÷ 3/5
= 3 × 5/3
= 15/3
g = 5
D. 3/7w + 2w = 3
3w+14w/7 = 3
17/7w = 3
w = 3 ÷ 17/7
= 3 × 7/17
= 21/17
w = 21/17
In 2010, there were approximately 6 million girls living in Orange City. In 2011, the population was down to 4 million girls. How many girls lived in Orange City in 2011 in comparison to 2010? Write your answer in scientific notation.
Answer:2010 +2011+2010=6021
6+4 =11
Step-by-step explanation:add then you divide
PLEASE HELP WILL GIVE 15 POINTS
Answer choices-
A- (0,8)
B- (4,0)
C- (10,0)
D- (0,10)
Which equation describes the line that passes through (-3,1) and is parallel to the line described by y =4x+1
Albert needs $133 to buy a new hard drive. He earns $4.75 for each car he washes. If he spends $19 in supplies, write and solve an equation to find the number of cars he needs to wash to reach his goal.
Answer:
Albert needs 32 cars to wash to reach his goal.
Step-by-step explanation:
We know that the slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope or rate of change and b is the y-intercept
It is stated that Albert needs $133 to buy a new hard drive.
Let 'y' be the amount Albert needs.As earns $4.75 for each car he washes. Thus, $4.75 the rate of change or slope will be.
As he spends $19 on supplies. Since it is an expense, so -19 is basically the y-intercept 'b'.
Let 'x' be the number of cars he needs to wash to reach his goal.
Thus, substituting the value m = 4.75, y = 133, and b=-19 in the slope-intercept form of a linear function
y = mx+b
133 = 4.75x - 19
133+19 = 4.75x
152 = 4.75x
x = 152 / 4.75
x = 32
Therefore, Albert needs 32 cars to wash to reach his goal.
